Solve (-8y^2)div2y

$$( - 8 y ^ { 2 } ) \div 2 y$$

Evaluate

$$-4y^{3}$$

Solution Steps

Divide -8y^{2} by 2 to get -4y^{2}.

$$-4y^{2}y$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-4y^{3}$$

Differentiate w.r.t. y

$$-12y^{2}$$

Steps Using Definition of a Derivative

Divide -8y^{2} by 2 to get -4y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-4y^{2}y)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-4y^{3})$$

The derivative of ax^{n} is nax^{n-1}.

$$3\left(-4\right)y^{3-1}$$

Multiply 3 times -4.

$$-12y^{3-1}$$

Subtract 1 from 3.

$$-12y^{2}$$